Kuwillalean38
24.06.2021 •
Mathematics
I need more geometry help!!
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Ответ:
GR = 6x + 8
QH = 9x - 1
given that GR and QH are equal .
So ,
6x + 8 = 9x -1
→ 6x - 9x = -1 - 8
→ -3x = -9
→ 3x = 9
→ x = 9/3
→ x = 3
Ответ:
D. x + 4y = 4Q + P
Step-by-step explanation:
In order to find an equation perpendicular to line g, we need to know the equation for line g. We can use the slope-intercept form of a line and fill it in with the info from the graph. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. From our graph we can see that the y-intercept is at (0, 14), so b = 14. Looking at the 2 other points on the line (one of them NOT being the y-intercept at (0, 14)), we can determine the slope. From the point (-3, 2), we go up 4 units and over 1 unit to the right to get to the next point, which is (-2, 6). That means that the slope of line g is 4/1 which is of course just 4. Now we have an equation for line g:
y = 4x + 14
The perpendicular slope to this line is the opposite reciprocal so the slope of the perpendicular line is -1/4. We can now use that perpendicular slope along with (P, Q) in the point-slope form of a line to get our answer.
Simplifying a bit gives us:
.
Multiply everything through by 4 to get rid of the fractions:
4y - 4Q = -x + P
Now get the x and y terms on one side:
x + 4y = 4Q + P
That's choice D